The twisted Polyakov loop coupling and the search for an IR fixed point

Understand

We report the nonperturbative behavior of the twisted Polyakov loop (TPL) coupling constant for the SU(3) gauge theories defined by the ratio of Polyakov loop correlators in finite volume with twisted boundary condition.

• Carrying out the numerical simulations, we determine the nonperturbative running coupling constant in this renormalization scheme for Nf=12 SU(3) gauge theory.
• According to the perturbative two loop analysis, the Nf=12 SU(3) gauge theory might have a conformal fixed point in the infrared region.
• However, the recent lattice studies show controversial results for the existence of the fixed point.